Ordered Groups and Topology
- ISBN-10
- 1470431068
- ISBN-13
- 9781470431068
- Category
- Knot theory
- Pages
- 154
- Language
- English
- Published
- 2016-11-16
- Publisher
- American Mathematical Soc.
- Authors
- Adam Clay, Dale Rolfsen
Description
This book deals with the connections between topology and ordered groups. It begins with a self-contained introduction to orderable groups and from there explores the interactions between orderability and objects in low-dimensional topology, such as knot theory, braid groups, and 3-manifolds, as well as groups of homeomorphisms and other topological structures. The book also addresses recent applications of orderability in the studies of codimension-one foliations and Heegaard-Floer homology. The use of topological methods in proving algebraic results is another feature of the book. The book was written to serve both as a textbook for graduate students, containing many exercises, and as a reference for researchers in topology, algebra, and dynamical systems. A basic background in group theory and topology is the only prerequisite for the reader.
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